006

PONTIFICIAE ACADEMIAE SCIENTIARVM SCRIPTA VARIA - 28

Thus if we put

(511-4)

— (i-o)e
8) _ B,.(6)e
Pri ( ) TRO (1a) 6, (i-¢)

then

(511-5) p(0)_ bo (i=P)20(0)4 +s 0g Dy (1-0) 9s (O)s
b (2-0)

LC

(511-6) (0) 9e Poli-P) Bo (0)s ov wy Oy ($20) By (0).
w, b, (3-P)+. + Ww, _, ¢, (1-0) + ese

The function (8) thus appears as a weighted average of the
function ¢,_,(0) with weights v,_, ¢,_,
We have

(511-7)

: I
Mall ea
iL

Thus providing (¢-p) is small and # not too large, the
weighting of the functions ¢, , (8) will differ little from the
weighting of the functions ¢, , (0).

"111 Allais - pag. 210